ICSE Class 10 Equation of a Straight Line — Mock Test (2027)
Free online mock test for Equation of a Straight Line (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Equation of a Straight Line chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.Line $4x - 5y = 20$ meets the $x$-axis at point $A$. Find the equation of a line passing through $A$ and perpendicular to $2x + 3y = 6$.
- A.$2x - 3y - 10 = 0$
- B.$3x - 2y - 15 = 0$
- C.$3x + 2y - 15 = 0$
- D.$2x + 3y - 10 = 0$
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2.What is the equation of the line parallel to $3x + 2y = 8$ and passing through the point $(0,1)$?
- A.$3x + 2y = 8$
- B.$3x + 2y = 2$
- C.$2x + 3y = 3$
- D.$3x - 2y = 1$
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3.The line given by the equation $2x - \frac{y}{3} = 7$ passes through the point $(k, 6)$. What is the value of $k$?
- A.$k = 4$
- B.$k = 5$
- C.$k = 6$
- D.$k = \frac{13}{2}$
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4.If the slope of the line joining P $(k, 2)$ and Q $(8, -11)$ is $\frac{-3}{4}$, find the value of $k$.
- A.$k = \frac{-28}{3}$
- B.$k = \frac{28}{3}$
- C.$k = -12$
- D.$k = 12$
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5.Find the equation of the perpendicular dropped from the point (-1, 2) onto the line joining (1, 4) and (2, 3).
- A.x - y + 3 = 0
- B.x + y - 1 = 0
- C.x - y - 3 = 0
- D.x + y + 3 = 0
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